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Finding the Fourth Proportional to 21,970.40, 32,955.76 and 17,582.24

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Solution

The fourth proportional to 21,970.40, 32,955.76 and 17,582.24 is: 26,373.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.40 : 32,955.76 = 17,582.24 : x
  2. Step 2: Convert to fraction form
    21,970.40/32,955.76 = 17,582.24/x
  3. Step 3: Cross multiply
    21,970.40x = 32,955.76 × 17,582.24
  4. Step 4: Simplify right side
    21,970.40x = 579,436,081.70
  5. Step 5: Solve for x
    x = 579,436,081.70/21,970.40
  6. Step 6: Final answer
    x = 26,373.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.